document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=563746>Question 563746</A>: <I><SPAN STYLE=\"word-break: break-all;\"> f(x)+3x^2-18x+2<BR>\n" );
document.write( "I need to graph this but don't know how<BR>\n" );
document.write( "Help! I'm lost </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #365031 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=365031\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I need to graph this<BR>\n" );
document.write( "f(x)=3x^2-18x+2<BR>\n" );
document.write( "Since this is a second degree equation, the graph is a parabola.<BR>\n" );
document.write( "complete the square<BR>\n" );
document.write( "y=3(x^2-6x+9)+2-27<BR>\n" );
document.write( "y=3(x-3)^2-25<BR>\n" );
document.write( "This is an equation of a parabola of the standard form: y=A(x-h)^2+k, with (h.k) being the (x,y) coordinates of the vertex.<BR>\n" );
document.write( "For given parabola:<BR>\n" );
document.write( "Vertex:(3,-25)<BR>\n" );
document.write( "axis of symmetry: x=3<BR>\n" );
document.write( "Parabola opens upwards (lead coefficient>0)<BR>\n" );
document.write( "y-intercept<BR>\n" );
document.write( "set x=0<BR>\n" );
document.write( "f(0)=3(3)^2-25=27-25=2<BR>\n" );
document.write( "This gives you  points at (0,2) and (6,2) because of axis of symmetry.<BR>\n" );
document.write( "You now have all the information you need to graph the given function </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );